The destabilizing effect of boundary slip on Bénard convection

✍ Scribed by Mark Webber

• Publisher: John Wiley and Sons
• Year: 2006
• Tongue: English
• Weight: 289 KB
• Volume: 29
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/mma.711

✦ Synopsis

Abstract

We investigate the influence of slip boundary conditions on the onset of Bénard convection in an infinite fluid layer. It is shown that the critical Rayleigh number is a decreasing function of the slip length, and therefore boundary slip is seen to have a destabilizing effect. Chebyshev‐tau and compound matrix formulations for solving the eigenvalue problem are presented. Copyright © 2005 John Wiley & Sons, Ltd.